Kant held that, even though most mathematical propositions are synthetic, they are knowable a priori - independent of sensory experience.

The theory that existence is not a predicate implies, however, that all existential propositions are synthetic.

Analytic propositions like synthetic propositions, can be believed for bad reasons, or for no reasons at all, and, when this occurs, we should deny that the believer knows the propositions in question.

Derivados

synthetical

They are derived from a novel technique known as ‘synthetical statistical estimation’: they ‘reflect expected values for the topics under investigation… and should not be regarded as absolute or exact’.

Kant also agreed with Hume that synthetical a priori judgments could not be applied to metaphysics, but asking such question points to the fact that reason has a ‘regulative’ use.

And thus the synthetical unity of apperception is the highest point with which we must connect every operation of the understanding, even the whole of logic, and after it our transcendental philosophy; indeed, this faculty is the understanding itself.